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What is the Least Common Multiple of 5806 and 5819?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 5806 and 5819 is 33785114.

LCM(5806,5819) = 33785114

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Least Common Multiple of 5806 and 5819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5806 and 5819, than apply into the LCM equation.

GCF(5806,5819) = 1
LCM(5806,5819) = ( 5806 × 5819) / 1
LCM(5806,5819) = 33785114 / 1
LCM(5806,5819) = 33785114

Least Common Multiple (LCM) of 5806 and 5819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5806 and 5819. First we will calculate the prime factors of 5806 and 5819.

Prime Factorization of 5806

Prime factors of 5806 are 2, 2903. Prime factorization of 5806 in exponential form is:

5806 = 21 × 29031

Prime Factorization of 5819

Prime factors of 5819 are 11, 23. Prime factorization of 5819 in exponential form is:

5819 = 111 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 5806 and 5819.

LCM(5806,5819) = 21 × 29031 × 111 × 232
LCM(5806,5819) = 33785114